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Bregman Iteration Based Efficient Algorithm for MR Image Reconstruction From Undersampled K-Space Data

delete2013-08-01
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段
段继忠 (Jizhong Duan) *
Y
Yu Liu
L
Liyi Zhang
DOI:10.1109/LSP.2013.2268206delete
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摘要

摘要

En 中文
It is difficult to solve Magnetic Resonance (MR) image reconstruction problems with linear combinations of total variation and l(1) norm regularization terms. In order to solve these compound regularization problems, we propose an efficient algorithm in this letter. The proposed algorithm adopts the Bregman iteration technique to convert the original constrained problem to a sequence of unconstrained problems, which are then solved using operator splitting and variable splitting techniques. Simulation experiments demonstrate that significant improvement of the quality of reconstructed images is achieved by the proposed algorithm when compared to previous methods.
Keyword:
Bregman iteration
compressed sensing
convex optimization
MR image reconstruction
operator splitting
total variation
variable splitting
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

T
tianjin university
学者数:
8.0W
论文数: 5.8W
被引数: 88
T
Tianjin University of Commerce
学者数:
2.6K
论文数: 1.7K
被引数: 2.5K
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